| 一类具高阶奇性解的完全奇异积分方程的直接解法 |
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| 引用本文： | 姜海波.一类具高阶奇性解的完全奇异积分方程的直接解法[J].襄樊学院学报,2007,28(8):5-8. |
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| 作者姓名： | 姜海波 |
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| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053 |
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| 摘 要： | 文章讨论了一类具有高阶奇异性解的完全奇异积分方程的直接求解问题.通过引入Hermite插值多项式,得到了这类奇异积分方程可解的充要条件和解的封闭形式,从而进一步扩大了完全奇异方程直接解法的求解范围.
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| 关 键 词： | 高阶奇异性解 完全奇异积分方程 Hermite插值多项式 |
| 文章编号： | 1009-2854(2007)08-0005-04 |
| 修稿时间： | 2007年3月12日 |
The Direct Method of Solution for Complete Singular Integral Equations with Solutions Having Singularities of High Order |
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| JIANG Hai-bo.The Direct Method of Solution for Complete Singular Integral Equations with Solutions Having Singularities of High Order[J].Journal of Xiangfan University,2007,28(8):5-8. |
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| Authors: | JIANG Hai-bo |
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| Institution: | JIANG Hai-bo |
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| Abstract: | The direct method of solution for complete singular integral equations with solutions having singularities of high order is discussed.By introducing Hermite interpolation polynomials,the necessary and sufficient condition for the solvability and the close form of the solution for this class of complete singular integral equations are obtained. So the reign of the direct method for complete singular integral equations is extended. |
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| Keywords: | Solutions with singularities of high order Complete singular integral equations Hermite interpolation polynomials |
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